Math

For what values of k does the line y= x + k pass through the circle defined by x^2 + y^2 = 25 at:
2 points?
1 point?
0 points?
I found the discriminant: 100- 4k^2 but i don't know how to find for each of the points

  1. 0
  2. 0
  3. 19
asked by Ruth
  1. your discriminant is correct

    so for 2 points:
    100-4k^2 > 0
    -4k^2 > -100
    k^2 < 25
    -5 ≤ k ≤ +5

    for 1 point
    k = ± 5

    for 0 points,
    100 - 4k^2 < 0
    k < -5 OR k > 5

    1. 0
    2. 0
    posted by Reiny

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